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How do I use the product rule for differentiation?

You should use the product rule when you have a function f(x), which you can't differentiate straight away. But which can be written in the form f(x)=g(x)h(x), where g(x) and h(x) are functions that you d...

Answered by Harry V. • Maths tutor

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y = 4(x^3) + 7x ... Find dy/dx

This is a simple differentiation question. To start, you need to know the general method of differentiation. This is:
if y = Axb then dy/dx = (A*b)x

Answered by Emilio E. • Maths tutor

2892 Views

Given that A(sin θ + cos θ) + B(cos θ − sin θ) ≡ 4 sin θ, find the values of the constants A and B.

Since this must be true for all values of θ, and cos and sin are distinct functions, no non-zero multiple of cosθ could ever be equal to 4 sinθ for all values of θ. Therefore, the overall multiple of cosθ...

Answered by David B. • Maths tutor

6877 Views

Find the derivative with respect to x, of 5cos(x)+ 4sin(x)

f(x) = 5cos(x) + 4sin(x)to find f^,(x) this is just another notation for the derivative.To differentiate trigonometry I always use this one simple trick which I will show on th...

Answered by Ryan P. • Maths tutor

3532 Views

Solve the inequality x^2 - 9 > 0

This is a quadratic inequality, because we have an x² term, so we answer this question by examining the graph of the associated equation y = x² - 9, and then find out where this grap...

Answered by Rose H. • Maths tutor

13672 Views